Affiliations: [a] Department of Mathematics, University of California Davis, Davis, CA, USA | [b] Department of Mechanical and Aerospace Engineering, University of California Davis, Davis, CA, USA
Correspondence:
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Corresponding author: William E. Tavernetti, Department of Mathematics, University of California Davis, Davis, CA 95616, USA. E-mail: etavernetti@ucdavis.edu.
Abstract: Theoretical studies of combustion have mostly focused on low speed deflagrations as well as pure supersonic detonations; however, transonic conditions, have not been as widely studied. Transonic flow conditions naturally occur in a variety of applications such as: turbine engines, power generation systems, missiles, turbo-machinery, industrial reactors and many more. A small disturbance and irrotational model is proposed in [11]. The current work investigates relaxing the small disturbance assumption. In addition, the common practice is to treat the pressure equation as elliptic (pressure correction methods, pressure projection methods). Instead, a hyperbolic equation for the pressure is used in this study for unsteady problems. The current work investigates integration of the hyperbolic pressure equation as part of a reactive full potential flow model.
